Very small Integrated and speakers used

I don't know what your budget is or what sort of sound you are looking for or how many sources but if you are just looking for small maybe a tamp could work. Parts express has a few some up to 50 watts/channel. They have limited inputs though usually one rca in an 1/8 inch in for ipod or some have a usb in for computer audio.they also have inexpensive speakers and subs it is conceivable you could do the whole setup for under $400.

Budget?

If I was starting over today in a small dorm room, I would look at the Jolida fx-10 tube amp along with a pair of less expensive Zu speakers. THis combo might be had for reasonable cost, at least on the audiophile scale especially if the Zus are used or on special and would likely provide quite excellent performance!

Rega Brio R. There's a couple on Agon right now. Or, find a used NAD. Can't go wrong with either. I wouldn't consider a T Amp personally. Remember, you're going to graduate one day.

NAD is always a solid choice.

But the Jolida/Zu combo offers some real eye candy to spice up a dorm room. Unfortunately, the guys will be more impressed than the ladies most likely, but you never know....

Just keep the door locked no matter if you have nice gear in a dorm room.

THose were the days (I am 52 years old with a son heading to college shortly, I hope)....